These requirements are pretty tough to meet. The above answer about using KeePassXC on desktop, and syncing the db to your phone is probably the best solution, as it meets every requirement except not switching password managers.
If you like Bitwarden, it will do what you want if you pay for their premium account. If you don't want to do that, you can host your own bitwarden server (I think that this implementation does 2FA, but I'm not positive:
If you like Bitwarden, it will do what you want if you pay for their premium account. If you don't want to do that, you can host your own bitwarden server (I think that this implementation does 2FA, but I'm not positive:
https://github.com/dani-garcia/vaultwarden